Ground state for fractional Schrödinger-Poisson equation in Coulomb-Sobolev space (Q2056472)

scientific article; zbMATH DE number 7440389

Language	Label	Description	Also known as
English	Ground state for fractional Schrödinger-Poisson equation in Coulomb-Sobolev space	scientific article; zbMATH DE number 7440389

Statements

instance of

scholarly article

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title

Ground state for fractional Schrödinger-Poisson equation in Coulomb-Sobolev space (English)

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Discrete and Continuous Dynamical Systems. Series S

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publication date

8 December 2021

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zbMATH Keywords

ground state

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fractional Schrödinger-Poisson equation

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Coulomb-Sobolev space

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/dcdss.2021064

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cites work

Derivation of the Schrödinger-Poisson equation from the quantum $N$-body problem

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Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates

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Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian

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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

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Uniqueness and nondegeneracy of positive solutions of $(-\Delta )^su+u= u^p$ in $\mathbb R^N$ when s is close to 1

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Ground states and concentration phenomena for the fractional Schrödinger equation

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Uniqueness of non-linear ground states for fractional Laplacians in $\mathbb{R}$

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Uniqueness of radial solutions for the fractional Laplacian

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GROUND AND BOUND STATES FOR A STATIC SCHRÖDINGER–POISSON–SLATER PROBLEM

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Fractional quantum mechanics and Lévy path integrals

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Existence of non-trivial solutions for nonlinear fractional Schrödinger-Poisson equations

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Ground state solution and nodal solution for fractional nonlinear Schrödinger equation with indefinite potential

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On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity

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Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation

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Ground state and multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent

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Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency

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Positive semiclassical states for a fractional Schrödinger-Poisson system.

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Q5505785

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On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases

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Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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The Brezis-Nirenberg result for the fractional Laplacian

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Regularity of the obstacle problem for a fractional power of the laplace operator

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Ground states for fractional Schrödinger equations with critical growth

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Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent

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Ground state solutions for the non-linear fractional Schrödinger–Poisson system

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Minimax theorems

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On the Schrödinger-Poisson equations with a general nonlinearity in the critical growth

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Schrödinger–Poisson systems with a general critical nonlinearity

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Identifiers

zbMATH Open document ID

1479.35014

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Mathematics Subject Classification ID

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10.3934/DCDSS.2021064

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Sitelinks

Mathematics(1 entry)

mardi Publication:2056472